Yes
no
No.
No. An isosceles trapezium (isosceles triangle with its apex removed) would have congruent diagonals but it is not a parallelogram.
Yes. Any triangle will tessellate.
Yes
Yes under certain dimensional conditions.
no
no
No, a regular isosceles triangle will not tessellate. In order for a shape to tessellate, it must be able to fit together with copies of itself without any gaps or overlaps. Regular isosceles triangles have angles of 90, 45, and 45 degrees, which do not allow for a repeating pattern that covers a plane without any spaces. Regular polygons that tessellate include equilateral triangles, squares, and hexagons.
yes you can tessellate a triangle and a pentagon together.
NO!!!! A parallelogram has 4(four) sides. A Triangle has 3(three) sides.
isosceles triangle
If their shapes are suitably matched they can tessellate together.
A parallelogram is two triangle together.
No.
They both have 3 sides.Both have at least 2 equal sides.They both have acute angles.Both are triangles.Both can tessellate.